Question 1

Salt water is more dense than fresh water.A ship floats in both fresh water and salt water.Compared to the fresh water,the volume of salt water displaced by the ship is

Accepted Answer

A)  greater than the volume of fresh water. 
B)  less than the volume of fresh water. 
C)  the same as the volume of fresh water. 
A)  greater than the volume of fresh water. 
B)  less than the volume of fresh water. 
C)  the same as the volume of fresh water.

Question 2

A 7.8-kg solid sphere,made of metal whose density is 2500 kg/   ,is suspended by a cord.When the sphere is immersed in water (of density 1000 kg/m3),what is the tension in the cord?

Accepted Answer

A)  46 N 
B)  61 N 
C)  76 N 
D)  92 N 
E)  110 N 
A)  46 N 
B)  61 N 
C)  76 N 
D)  92 N 
E)  110 N

Question 3

The weight of a car of mass 1.20 × 103 kg is supported equally by the four tires,which are inflated to the same gauge pressure.What gauge pressure in the tires is required so the area of contact of each tire with the road is 1.00 × 102 cm2? (1 atm = 1.01 × 105 Pa.)

Accepted Answer

A)  11.6 × 105 Pa 
B)  11.6 × 104 Pa 
C)  2.94 × 105 Pa 
D)  2.94 × 104 Pa 
E)  2.94 × 103 Pa 
A)  11.6 × 105 Pa 
B)  11.6 × 104 Pa 
C)  2.94 × 105 Pa 
D)  2.94 × 104 Pa 
E)  2.94 × 103 Pa

Question 4

You are driving a late model convertible car at the 65 mph speed limit with its soft flexible roof closed up and the windows closed.You observe that the roof

Accepted Answer

A)  bows inward. 
B)  is no different from when the car was at rest. 
C)  bows outward. 
D)  bows inward only when you are driving uphill. 
E)  bows inward only when you are driving downhill. 
A)  bows inward. 
B)  is no different from when the car was at rest. 
C)  bows outward. 
D)  bows inward only when you are driving uphill. 
E)  bows inward only when you are driving downhill.

Question 5

A large cylindrical water tank is mounted on a platform with its central axis vertical.The water level is 3.75 m above the base of the tank,and base is 6.50 m above the ground.A small hole 2.22 mm in diameter has formed in the base of the tank.Both the hole and the top of the tank are open to the air.We can ignore air resistance and treat water as an ideal fluid with a density of 1000 kg/m3.
(a)How many cubic meters of water per second is this tank losing?
(b)How fast is the water from the hole moving just as it reaches the ground?

Accepted Answer

(a)3.26 ×

Question 6

One of the dangers of tornados and hurricanes is the rapid drop in air pressure that is associated with such storms.Assume that the air pressure inside of a sealed house is 1.02 atm when a hurricane hits.The hurricane rapidly decreases the external air pressure to 0.910 atm.A square window in an outside wall of the house measures 2.02 m on each side.What net force (directed outwards)is exerted on this window? (1 atm = 1.01 × 105 Pa.)

Accepted Answer

A)  4.53 × 104 N 
B)  5.14 × 104 N 
C)  4.78 × 105 N 
D)  5.37 × 105 N 
A)  4.53 × 104 N 
B)  5.14 × 104 N 
C)  4.78 × 105 N 
D)  5.37 × 105 N

Question 7

When you blow some air above the upper face of a paper strip,the paper rises.This occurs because

Accepted Answer

A)  the air above the upper face of the paper moves faster, which makes the pressure higher than at the lower face. 
B)  the air above the upper face of the paper moves faster, which makes the pressure lower than at the lower face. 
C)  the air above the upper face of the paper moves faster but the pressure remains constant. 
D)  the air above the upper face of the paper moves slower, which makes the pressure higher than at the lower face. 
E)  the air above the upper face of the paper moves slower, which makes the pressure lower than at the lower face. 
A)  the air above the upper face of the paper moves faster, which makes the pressure higher than at the lower face. 
B)  the air above the upper face of the paper moves faster, which makes the pressure lower than at the lower face. 
C)  the air above the upper face of the paper moves faster but the pressure remains constant. 
D)  the air above the upper face of the paper moves slower, which makes the pressure higher than at the lower face. 
E)  the air above the upper face of the paper moves slower, which makes the pressure lower than at the lower face.

Question 8

A circular cylinder of height 1.20 m having faces of diameter 0.620 m is immersed in water of density   with its axis vertical so that its faces are parallel to the surface of the water.The upper face is 2.50 m below the surface of the water.The net force on this cylinder is observed to be 1120 N downward.Atmospheric pressure is   .What net force does the water exert on the lower face of the cylinder?

Accepted Answer

A)  7.40 × 103 N 
B)  1.09 × 104 N 
C)  3.79 × 104 N 
D)  4.14 × 104 N 
E)  1.37 × 105 N 
A)  7.40 × 103 N 
B)  1.09 × 104 N 
C)  3.79 × 104 N 
D)  4.14 × 104 N 
E)  1.37 × 105 N

Question 9

A level pipe contains a nonviscous,incompressible fluid with a density   that is flowing steadily.At one position within the pipe,the pressure is 300 kPa and the speed of the flow is 20.0 m/s.At another position,the pressure is 200 kPa.What is the speed of the flow at this second position?

Accepted Answer

A)  567 m/s 
B)  16.2 m/s 
C)  32.9 m/s 
D)  23.8 m/s 
E)  186 m/s 
A)  567 m/s 
B)  16.2 m/s 
C)  32.9 m/s 
D)  23.8 m/s 
E)  186 m/s

Question 10

A hollow steel ball of diameter 3.0 m barely floats in water.What is the thickness of the wall of the ball? The density of iron is 7.87 g/cm3 and that of water is 1000 kg/m3.

Accepted Answer

A)  6.6 cm 
B)  37 cm 
C)  131 cm 
D)  79 cm 
A)  6.6 cm 
B)  37 cm 
C)  131 cm 
D)  79 cm

Question 11

An incompressible fluid flows steadily through a pipe that has a change in diameter.The fluid speed at a location where the pipe diameter is 8.0 cm is 1.28 m/s.What is the fluid speed at a location where the diameter has narrowed to 4.0 cm?

Accepted Answer

A)  0.32 m/s 
B)  0.64 m/s 
C)  1.28 m/s 
D)  2.56 m/s 
E)  5.12 m/s 
A)  0.32 m/s 
B)  0.64 m/s 
C)  1.28 m/s 
D)  2.56 m/s 
E)  5.12 m/s

Question 12

At a certain depth in the ocean,the absolute pressure is p.If you go to twice that depth (treating the water as incompressible)

Accepted Answer

A)  the absolute pressure will be 2p. 
B)  the absolute pressure will be less than 2p. 
C)  the absolute pressure will be greater than 2p. 
D)  the gauge pressure will not change. 
E)  the gauge pressure will increase but will not double. 
A)  the absolute pressure will be 2p. 
B)  the absolute pressure will be less than 2p. 
C)  the absolute pressure will be greater than 2p. 
D)  the gauge pressure will not change. 
E)  the gauge pressure will increase but will not double.

Question 13

Water flows in the horizontal pipe shown in the figure.At point A the area is 25.0 cm2 and the speed of the water is   At B the area is 16.0 cm2.The fluid in the manometer is mercury,which has a density of   .We can treat water as an ideal fluid having a density of   .What is the manometer reading h?

Accepted Answer

A)  0.546 cm 
B)  1.31 cm 
C)  2.81 cm 
D)  2.16 cm 
E)  3.36 cm 
A)  0.546 cm 
B)  1.31 cm 
C)  2.81 cm 
D)  2.16 cm 
E)  3.36 cm

Question 14

A paint sprayer pumps air through a constriction in a 2.50-cm diameter pipe,as shown in the figure.The flow causes the pressure in the constricted area to drop and paint rises up the feed tube and enters the air stream.The speed of the air stream in the 2.50-cm diameter sections is 5.00 m/s.The density of the air is 1.29 kg/m3,and the density of the paint is 1200 kg/m3.We can treat the air and paint as incompressible ideal fluids.What is the maximum diameter of the constriction that will allow the sprayer to operate?

Accepted Answer

A)  8.07 mm 
B)  4.05 mm 
C)  12.2 mm 
D)  9.65 mm 
E)  14.3 mm 
A)  8.07 mm 
B)  4.05 mm 
C)  12.2 mm 
D)  9.65 mm 
E)  14.3 mm

Question 15

Incompressible water flows out of a large reservoir through a pipe that opens to the atmosphere 5.70 m below the level of the water in the reservoir.What is the speed of the water as it comes out of the pipe?

Accepted Answer

A)  1.72 m/s 
B)  7.47 m/s 
C)  55.8 m/s 
D)  10.6 m/s 
E)  27.9 m/s 
A)  1.72 m/s 
B)  7.47 m/s 
C)  55.8 m/s 
D)  10.6 m/s 
E)  27.9 m/s

Question 16

A person who weighs 550 N empties her lungs as much as possible and is then completely immersed in water (of density 1000 kg/m3)while suspended from a harness.Her apparent weight is now 21.2 N.What is her density?

Accepted Answer

A)  1050 kg/m3 
B)  1040 kg/m3 
C)  1030 kg/m3 
D)  960 kg/m3 
E)  56.1 kg/m3 
A)  1050 kg/m3 
B)  1040 kg/m3 
C)  1030 kg/m3 
D)  960 kg/m3 
E)  56.1 kg/m3

Question 17

A wooden raft has a mass of 50 kg.When empty it floats in water (density   with 69% of its volume submerged.What mass of sand can be put on the raft without it sinking?

Accepted Answer

The answer of A wooden raft has a mass of...

Question 18

A certain coin has a diameter of 21.21 mm,a thickness of 1.95 mm,and weighs 0.04905 N.What is its density?

Accepted Answer

A)  29.1 × 103 kg/m3 
B)  7.26 × 103 kg/m3 
C)  9.25 × 103 kg/m3 
D)  2.31 × 103 kg/m3 
E)  71.2 × 103 kg/m3 
A)  29.1 × 103 kg/m3 
B)  7.26 × 103 kg/m3 
C)  9.25 × 103 kg/m3 
D)  2.31 × 103 kg/m3 
E)  71.2 × 103 kg/m3

Question 19

A cup of water containing an ice cube at 0°C is filled to the brim.The tip of the ice cube sticks out of the surface.As the ice melts,you observe that

Accepted Answer

A)  the cup overflows. 
B)  the cup might overflow but it depends on the actual mass of the ice cube. 
C)  the water level remains the same. 
D)  the water level actually goes down. 
E)  There is not enough information to answer this question. 
A)  the cup overflows. 
B)  the cup might overflow but it depends on the actual mass of the ice cube. 
C)  the water level remains the same. 
D)  the water level actually goes down. 
E)  There is not enough information to answer this question.

Question 20

Water flows through a pipe having a varying width.More water flows per second through the wide section than through the narrow section because there is more room for it to flow.

Accepted Answer

A) True 
 B)False

Exam 12: Fluid Mechanics

Salt water is more dense than fresh water.A ship floats in both fresh water and salt water.Compared to the fresh water,the volume of salt water displaced by the ship is

A 7.8-kg solid sphere,made of metal whose density is 2500 kg/ ,is suspended by a cord.When the sphere is immersed in water (of density 1000 kg/m3),what is the tension in the cord?

The weight of a car of mass 1.20 × 103 kg is supported equally by the four tires,which are inflated to the same gauge pressure.What gauge pressure in the tires is required so the area of contact of each tire with the road is 1.00 × 102 cm2? (1 atm = 1.01 × 105 Pa.)

You are driving a late model convertible car at the 65 mph speed limit with its soft flexible roof closed up and the windows closed.You observe that the roof

When you blow some air above the upper face of a paper strip,the paper rises.This occurs because

A level pipe contains a nonviscous,incompressible fluid with a density that is flowing steadily.At one position within the pipe,the pressure is 300 kPa and the speed of the flow is 20.0 m/s.At another position,the pressure is 200 kPa.What is the speed of the flow at this second position?

A hollow steel ball of diameter 3.0 m barely floats in water.What is the thickness of the wall of the ball? The density of iron is 7.87 g/cm3 and that of water is 1000 kg/m3.

An incompressible fluid flows steadily through a pipe that has a change in diameter.The fluid speed at a location where the pipe diameter is 8.0 cm is 1.28 m/s.What is the fluid speed at a location where the diameter has narrowed to 4.0 cm?

At a certain depth in the ocean,the absolute pressure is p.If you go to twice that depth (treating the water as incompressible)

Water flows in the horizontal pipe shown in the figure.At point A the area is 25.0 cm2 and the speed of the water is At B the area is 16.0 cm2.The fluid in the manometer is mercury,which has a density of .We can treat water as an ideal fluid having a density of .What is the manometer reading h?

Incompressible water flows out of a large reservoir through a pipe that opens to the atmosphere 5.70 m below the level of the water in the reservoir.What is the speed of the water as it comes out of the pipe?

A person who weighs 550 N empties her lungs as much as possible and is then completely immersed in water (of density 1000 kg/m3)while suspended from a harness.Her apparent weight is now 21.2 N.What is her density?

A wooden raft has a mass of 50 kg.When empty it floats in water (density with 69% of its volume submerged.What mass of sand can be put on the raft without it sinking?

A certain coin has a diameter of 21.21 mm,a thickness of 1.95 mm,and weighs 0.04905 N.What is its density?

A cup of water containing an ice cube at 0°C is filled to the brim.The tip of the ice cube sticks out of the surface.As the ice melts,you observe that

Water flows through a pipe having a varying width.More water flows per second through the wide section than through the narrow section because there is more room for it to flow.

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A 7.8-kg solid sphere,made of metal whose density is 2500 kg/ ,is suspended by a cord.When the sphere is immersed in water (of density 1000 kg/m³),what is the tension in the cord?

The weight of a car of mass 1.20 × 10³ kg is supported equally by the four tires,which are inflated to the same gauge pressure.What gauge pressure in the tires is required so the area of contact of each tire with the road is 1.00 × 10² cm²? (1 atm = 1.01 × 10⁵ Pa.)

A hollow steel ball of diameter 3.0 m barely floats in water.What is the thickness of the wall of the ball? The density of iron is 7.87 g/cm³ and that of water is 1000 kg/m³.

Water flows in the horizontal pipe shown in the figure.At point A the area is 25.0 cm² and the speed of the water is At B the area is 16.0 cm².The fluid in the manometer is mercury,which has a density of .We can treat water as an ideal fluid having a density of .What is the manometer reading h?

A person who weighs 550 N empties her lungs as much as possible and is then completely immersed in water (of density 1000 kg/m³)while suspended from a harness.Her apparent weight is now 21.2 N.What is her density?